Found 1,290 Documents (Results 1–100)
Additive maps preserving (generalized) inverses on alternative division algebras. (English) Zbl 07925652
Simple right alternative superalgebras. (English. Russian original) Zbl 07915940
J. Math. Sci., New York 284, No. 4, 527-544 (2024); translation from Fundam. Prikl. Mat. 24, No. 4, 171-197 (2023).
MSC:
17D15
A uniform characterization of the octonions and the quaternions using commutators. (English) Zbl 07903874
Invariant measures on \(p\)-adic Lie groups: the \(p\)-adic quaternion algebra and the Haar integral on the \(p\)-adic rotation groups. (English) Zbl 07880225
Yang-Baxter equations and \(\mathcal{O}\)-operators of a Hom-Jordan superalgebra with representation. (English) Zbl 07851970
On the lengths of descendingly flexible and descendingly alternative algebras. (English) Zbl 07845495
A finite-dimensional singular superalgebra is algebraically generated. (English) Zbl 07812449
Reviewer: Ivan Kaygorodov (Covilhã)
Octonions as Clifford-like algebras. (English) Zbl 07804817
Reviewer: Cristina Flaut (Constanța)
Commutative power-associative representations of symmetric matrices. (English) Zbl 07804815
Reviewer: Ivan Kaygorodov (Covilhã)
Structure of the variety of alternative algebras with the Lie-nilpotency identity of degree 5. (English. Russian original) Zbl 07804698
Sib. Math. J. 65, No. 1, 139-152 (2024); translation from Sib. Mat. Zh. 65, No. 1, 164-179 (2024).
Commuting maps and identities with inverses on alternative division rings. (English) Zbl 07766113
Reviewer: Cristina Flaut (Constanța)
A unified theory of regular functions of a hypercomplex variable. arXiv:2408.01523
Preprint, arXiv:2408.01523 [math.CV] (2024).
Rota-Baxter operators of weight zero on Cayley-Dickson algebra. arXiv:2406.16312
Preprint, arXiv:2406.16312 [math.RA] (2024).
Flipped non-associative polynomial rings and the Cayley-Dickson construction. arXiv:2403.03763
Preprint, arXiv:2403.03763 [math.RA] (2024).
Skew-symmetric identities of finitely generated alternative algebras. (English. Russian original) Zbl 07849283
Algebra Logic 62, No. 3, 257-265 (2023); translation from Algebra Logika 62, No. 3, 387-399 (2023).
MSC:
17-XX
Hom-prealternative superalgebras. (English) Zbl 1543.17034
Silvestrov, Sergei (ed.) et al., Non-commutative and non-associative algebra and analysis structures. SPAS 2019. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 426, 121-145 (2023).
Commutative and 2-divisible subvarieties of rings of Bol-Moufang type. (English) Zbl 07798619
Reviewer: Raúl M. Falcón (Sevilla)
On the nonexistence of certain associative subloops in the loop of invertible elements of the split alternative Cayley-Dickson algebra. (English) Zbl 1532.20066
Reviewer: C. Pereira da Silva (Curitiba)
Structure of singular superalgebras with 2-dimensional even part and new examples of singular superalgebras. (English. Russian original) Zbl 1542.17010
Algebra Logic 61, No. 6, 506-523 (2023); translation from Algebra Logika 61, No. 6, 742-765 (2022).
Reviewer: Ivan Kaygorodov (Covilhã)
On doubly alternative zero divisors in Cayley-Dickson algebras. (English. Russian original) Zbl 1537.17010
J. Math. Sci., New York 272, No. 4, 496-518 (2023); translation from Zap. Nauchn. Semin. POMI 514, 18-54 (2022).
Reviewer: Cristina Flaut (Constanța)
\(\ast\)-Lie-type maps on alternative \(\ast\)-algebras. (English) Zbl 1527.17018
Reviewer: Alexandre P. Pojidaev (Novosibirsk)
Identities of the algebra \(\mathbb{O}\otimes\mathbb{O}\). (English) Zbl 1523.17004
Leroy, A. (ed.) et al., Algebra and coding theory. Virtual conference in honor of Tariq Rizvi. Noncommutative rings and their applications VII, Université d’Artois, Lens, France, July 5–7, 2021. Virtual conference on quadratic forms, rings and codes, Université d’Artois, Lens, France, July 8, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 785, 35-45 (2023).
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
Product theorems for alternative algebras and some of their applications. (English. Russian original) Zbl 1526.17050
Sib. Math. J. 64, No. 2, 374-392 (2023); translation from Sib. Mat. Zh. 64, No. 2, 383-404 (2023).
Roots and critical points of polynomials over Cayley-Dickson algebras. (English) Zbl 1523.17002
Reviewer: Amedeo Altavilla (Ancona)
Heredity of radicals and ideals of algebras generated by subideals and subinvariant subalgebras. (English. Russian original) Zbl 1524.17008
J. Math. Sci., New York 269, No. 5, 708-724 (2023); translation from Fundam. Prikl. Mat. 24, No. 1, 141-163 (2022).
One-sided isotopes of finite-dimensional algebras. (English. Russian original) Zbl 1526.17049
J. Math. Sci., New York 269, No. 4, 443-452 (2023); translation from Fundam. Prikl. Mat. 23, No. 4, 3-16 (2021).
One-sided isotopes and homotopes of right-alternative algebras. (English. Russian original) Zbl 1517.17025
J. Math. Sci., New York 269, No. 3, 402-410 (2023); translation from Fundam. Prikl. Mat. 23, No. 3, 201-213 (2020).
MSC:
17D15
Cayley-Dickson split-algebras: doubly alternative zero divisors and relation graphs. (English. Russian original) Zbl 1508.05105
J. Math. Sci., New York 269, No. 3, 331-355 (2023); translation from Fundam. Prikl. Mat. 23, No. 3, 95-129 (2020).
The Veronese subalgebras of a free alternative algebra of finite rank are finitely generated. arXiv:2311.14441
Preprint, arXiv:2311.14441 [math.RA] (2023).
Octonion Algebras over Schemes and the Equivalence of Isotopes and Isometric Quadratic Forms. arXiv:2309.01776
Preprint, arXiv:2309.01776 [math.RA] (2023).
Oriented CW complexes and finite-dimensional alternative algebras. (English) Zbl 1543.17032
Reviewer: V. Yegnanarayanan (Chennai)
Modification and correction of Medvedev’s example of a solvable alternative algebra. (English. Russian original) Zbl 1537.17051
Algebra Logic 61, No. 5, 420-436 (2022); translation from Algebra Logika 61, No. 5, 619-639 (2022).
Reviewer: Plamen Koshlukov (Campinas)
MSC:
17D05
Generalized derivations on alternative rings. (English) Zbl 1517.17003
Reviewer: Richard Varro (Montpellier)
Loop algebra \(F[M(C_p^m\rtimes C_2,2)]\). (English) Zbl 1509.20145
Reviewer: Abednego Orobosa Isere (Ekpoma)
Lie (Jordan) centralizers on alternative algebras. (English) Zbl 1511.17070
Reviewer: Alberto Elduque (Zaragoza)
Embedding of Malcev and alternative algebras. (English) Zbl 1527.17019
Reviewer: Alexandre P. Pojidaev (Novosibirsk)
Right alternative unital bimodules over the matrix algebras of order \(\ge 3\). (English. Russian original) Zbl 1498.17051
Sib. Math. J. 63, No. 4, 743-757 (2022); translation from Sib. Mat. Zh. 63, No. 4, 893-910 (2022).
Reviewer: Alexandre P. Pojidaev (Novosibirsk)
On a problem by Nathan Jacobson. (English) Zbl 1500.17025
Reviewer: Ivan Kaygorodov (Covilhã)
Nonlinear \(\ast\)-Jordan-type derivations on alternative \(\ast\)-algebras. (English) Zbl 1495.17005
Reviewer: Abdellatif Rochdi (Casablanca)
Deformation of Kupershmidt operators and Kupershmidt-Nijenhuis structures of a Malcev algebra. (English) Zbl 1499.17020
Some examples of nonassociative coalgebras and supercoalgebras. (English) Zbl 1497.17005
Reviewer: Jörg Feldvoss (Mobile)
The algebraic and geometric classification of nilpotent right alternative algebras. (English) Zbl 1524.17014
Split-Hopf fibrations. (English) Zbl 1480.55014
Frameworks, tensegrities, and symmetry. (English) Zbl 1524.74001
Cambridge: Cambridge University Press (ISBN 978-0-521-87910-1/hbk; 978-0-511-84329-7/ebook). xiv, 283 p. (2022).
Reviewer: Victor Alexandrov (Novosibirsk)
Alternative \(M_2\)-algebras and \({\mit \Gamma}\)-algebras. arXiv:2212.01008
Preprint, arXiv:2212.01008 [math.RA] (2022).
Nonmatrix varieties of nonassociative algebras. arXiv:2209.02770
Preprint, arXiv:2209.02770 [math.RA] (2022).
Extending structures for alternative bialgebras. arXiv:2208.08281
Preprint, arXiv:2208.08281 [math.RA] (2022).
Classification of G_2-orbits for pairs of octonions. arXiv:2208.08122
Preprint, arXiv:2208.08122 [math.RA] (2022).
Extensions of the fundamental theorem of algebra. arXiv:2203.14689
Preprint, arXiv:2203.14689 [math.RA] (2022).
New elements in the center of free alternative algebra. arXiv:2201.08915
Preprint, arXiv:2201.08915 [math.RA] (2022).
Lights Out on graphs. (English) Zbl 1502.05162
Reviewer: V. Yegnanarayanan (Chennai)
On the torsion in multiplicatively closed subsets of power associative algebras. (English) Zbl 1495.20058
Generalized Lie-type derivations of alternative algebras. (English. Russian original) Zbl 1507.17050
Russ. Math. 65, No. 9, 33-40 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 9, 40-48 (2021).
Steiner triple algebras. (English) Zbl 1495.17001
Reviewer: Charles J. Colbourn (Tempe)
Locally finite coalgebras and the locally nilpotent radical. II. (English) Zbl 1494.17002
Reviewer: Vesselin Drensky (Sofia)
A short characterization of the octonions. (English) Zbl 1485.17034
Reviewer: Alberto Elduque (Zaragoza)
Slice Fueter-regular functions. (English) Zbl 1485.30015
Reviewer: Amedeo Altavilla (Ancona)
On a new class of Moufang-Klingenberg planes. (English) Zbl 1477.51001
Reviewer: Dirk Keppens (Gent)
Von-Neumann finiteness and reversibility in some classes of non-associative algebras. (English) Zbl 1484.17048
Central extension of left alternative algebras and the second cohomology group. (English) Zbl 1490.17042
Orthogonality graphs of real Cayley-Dickson algebras. II: The subgraph on pairs of basis elements. (English) Zbl 1511.17004
Orthogonality graphs of real Cayley-Dickson algebras. I: Doubly alternative zero divisors and their hexagons. (English) Zbl 1511.17003
Algebraically generated superalgebras. (English. Russian original) Zbl 1484.17050
Russ. Math. 65, No. 6, 57-72 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 6, 67-83 (2021).
MSC:
17D15
Kupershmidt-(dual-)Nijenhuis structure on the alternative algebra with a representation. (English) Zbl 1492.16037
Some finitely generated associative algebras with a Lie nilpotency identity. (English) Zbl 1472.16022
Reviewer: Alberto Elduque (Zaragoza)
Supercommutator (Hom-)superalgebras of right (Hom-)alternative superalgebras. (English) Zbl 1482.17060
Reviewer: Cristina Flaut (Constanta)
Right alternative bimodules over Cayley algebra and coordinatization theorem. (English) Zbl 1475.17052
Reviewer: Alberto Elduque (Zaragoza)
MSC:
17D15
Nilpotency of alternative and Jordan algebras. (English. Russian original) Zbl 1504.17032
Sib. Math. J. 62, No. 1, 148-158 (2021); translation from Sib. Mat. Zh. 62, No. 1, 185-197 (2021).
Reviewer: Plamen Koshlukov (Campinas)
*-Lie-Type maps on alternative *-algebras. arXiv:2111.02150
Preprint, arXiv:2111.02150 [math.RA] (2021).
Graded-division algebras. (English) Zbl 1503.17007
Makhlouf, Abdenacer (ed.), Algebra and applications 1. Non-associative algebras and categories. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 59-109 (2020).
Reviewer: Maria Trushina (Moskva)
On the structure of alternative bimodules over semisimple Artinian algebras. (English. Russian original) Zbl 1475.17050
Russ. Math. 64, No. 8, 1-7 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 8, 3-10 (2020).
Reviewer: Miguel Angel Gómez Lozano (Malaga)
MSC:
17D05
Right alternative superalgebras of capacity 1 with strongly alternative even part. (English. Russian original) Zbl 1477.17104
Algebra Logic 59, No. 2, 180-195 (2020); translation from Algebra Logika 59, No. 2, 260-281 (2020).
MSC:
17D15
Identities of prime alternative algebras. (English. Russian original) Zbl 1480.17028
Algebra Logic 59, No. 2, 147-164 (2020); translation from Algebra Logika 59, No. 2, 215-238 (2020).
Reviewer: Victor Petrogradsky (Brasília)
On the Wedderburn’s principal theorem in right alternative superalgebras of capacity 1. (Russian. English summary) Zbl 1477.17103
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